Geodesic
Intersection theory and Hilbert function
Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 4, pp. 82-94.

Voir la notice de l'article provenant de la source Math-Net.Ru

Birationally invariant intersection theory is a far-reaching generalization and extension of the Bernstein–Kushnirenko theorem. This paper presents transparent proofs of Hilbert's theorem on the degree of a projective variety and other related statements playing an important role in this theory. The paper is completely self-contained; we recall all necessary definitions and statements.
Keywords: degree of projective variety, Hilbert function, intersection theory, Bernstein–Kushnirenko theorem. 
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A. G. Khovanskii. Intersection theory and Hilbert function. Funkcionalʹnyj analiz i ego priloženiâ, Tome 45 (2011) no. 4, pp. 82-94. http://geodesic.mathdoc.fr/item/FAA_2011_45_4_a7/

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